Ph. D. Programs 2022-23

Chaitanya Eligibility Test Syllabus -2022

FACULTY OF ENGINEERING AND TECHNOLOGY

Ph. D. Eligibility Test-2022 – TEST PATTERN

The eligibility test will be of 90 minutes duration and question paper consists of 100 objective (multiple choice only) type questions

  • Exam will conduct in two parts. Part-A and Part-B.
  • Part-A contains 30 questions from Research Methodology (Common for all subjects)
  • Part-B Contains 70 questions from specific subjects.
  • The eligibility test will consist of any 3 or 4 varieties of objective type items such as analogies, classification, matching, comprehension of a research study / experiment / theoretical point of view, etc., with multiple answers besides the usual multiple choice items. The items will be framed only from the syllabus of eligibility test.

 

  • Maximum marks for eligibility test:100 marks
  • Nature of test:Objective type with multiple choice questions.
  • Medium of eligibility test:The medium of eligibility test will be English

PART-A

1.      Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

2.      Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of defining the Problem.

3.      Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design. Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure

4.      Aptitude: Coding and decoding, blood relations, time and distance, simple and compound interest, Permutation and combination, number system, odd man out.

 COMPUTER SCIENCE & ENGINEERING 

PART-B

DISCRETE MATHEMATICS: Propositional and first-order logic. Sets, relations, functions, partial orders, and lattices. Groups. Graphs: connectivity, matching, coloring. Combinatorics: counting, recurrence relations, generating functions.

PROGRAMMING &DATA STRUCTURES WITH ALGORITHMS:Programming in C. Recursion. Arrays,stack, queue, list, set, string, tree, binary search tree, heap, graph, tree and graph traversals, connected components, spanning trees, shortest paths, hashing, sorting, searching, design techniques (greedy, dynamic, divide and conquer), asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds.

DIGITAL LOGICS &COMPUTER ORGANIZATION:Boolean algebra, minimization of Boolean functions; logic gates,Synthesis of combinational and sequential circuits. Machine instructions and addressing modes, ALU and control, memory interface, I/O interface (cache, main and secondary storage. data path and hardwired), serial communication interface, cache, main and secondary storage.

OPERATING SYSTEMS: Classical concepts (concurrency, synchronization, deadlock), processes, threads and inter-process communication, CPU scheduling, memory management, file systems.

SOFTWARE ENGINEERING: Information gathering, requirement and feasibility analysis, data flow diagrams, process specifications, input/output design, process life cycle.

DATABASE MANAGEMENT SYSTEMS: Definition, relational model, database design, E-R diagrams, integrity constraints, normal forms, Relational Algebra, query languages (SQL).

DATA COMMUNICATION AND NETWORKS: ISO/OSI stack, transmission media, data encoding, multiplexing, flow and error control, LAN technologies, network devices – switches, gateways, routers, ICMP, application layer protocols – SMTP, POP3, HTTP, DNS, FTP, Telnet.

THEORY OF COMPUTATION: Finite automata, Regular expressions, Context-free grammars and push-down automata. Regular and context-free languages, pumping lemma. Turing machines and undecidability.

ELECTRONICS AND COMMUNICATION ENGINEERING

Signals &Systems: Continuous-time signals: Fourier series and Fourier transform representations, Laplace Transforms; sampling theorem and applications,Discrete-time signals: discrete-time Fourier transform (DTFT), DFT, Z-transform; LTI systems: definition and properties, causality, stability, impulse response, convolution.

Electronic Devices: P-N junction, Zener diode, BJT, MOS capacitor, MOSFET, LED; Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.

Analog circuits: Small signal equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits: clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response; BJT and MOSFET amplifiers: multi-stage, differential, feedback, Simple opamp circuits; Active filters; Sinusoidal oscillators: criterion for oscillation.

Digital circuits: Number systems; Combinatorial circuits: minimization of switching functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, multiplexers, decoders. Sequential circuits: latches and flip‐flops, counters, shift‐registers and finite state machines; Data converters: Semiconductor memories.

Communications: Random processes: autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems; Analog and digital modulation schemes; matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation; Timing and frequency synchronization, inter-symbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.

Electromagnetics: Electrostatics; Maxwell’s equations: differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector; Plane waves and properties: reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth; Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays; Basics of radar;

Microprocessor & micro controller: 8085 & 8086 microprocessors-architecture, instruction set, addressing modes, 8051 microcontroller- architecture, modes of operation, interrupt structure, memory and I/O interfacing. Embedded systems-general purpose processors, state machine and concurrent process models, RTOs.

ELECTRICAL AND ELECTRONICS ENGINEERING

Networks: D.C. and A.C. circuits –R,L,C elements, KVL, KCL, loop and nodal analysis, source transformation, stardelta transformation, Superposition, Reciprocity, Thevenin’s, Norton’s, Maximum power transfer theorems, time response of circuits, complex power, resonance, steady state analysis, Transient analysis, two port networks, solution of balanced and unbalanced 3-φ circuits.

Electrical Measurements: Bridges and potentiometers; indicating instruments – PMMC, moving iron, dynamometer, electrostatic and induction type meters, ammeters and voltmeters, errors in indicating instruments; wattmeter, energy meter and other measuring instruments – measurement of power, energy and power factor and frequency, errors and compensation, Transducers.

Analog and Digital circuits: Diode circuits, clippings, Rectifiers, Amplifiers, Biasing, combinational sequential logic circuits, Multiplexers, demultiplexers, A/D and D/A converters.

Control Systems: Transfer function, block diagrams, servo and stepper motors, error constants, stability, Routh and Niquist criterion, Bode plots, root loci, lag, lead and lead-lag compensation, PD, PI & PID controllers, state space model, state transition matrix, controllability and observability.

Electrical Machines: Energy conversion principles; DC machines – types, generator characteristics, armature reaction and commutation, testing and speed control of dc motors; three phase induction motors – principles, types, performance characteristics, starting testing and speed control, single phase induction motors; synchronous machines – performance, regulation and parallel operation of generators, synchronous motor starting, characteristics and applications; single phase transformer – equivalent circuit, phasor diagram, testing, regulation and efficiency; three phase transformers.

Power Systems: Generation of electrical Power; transmission line parameters; sag calculations; insulators and cables; economic operation; AC and DC distribution systems, symmetrical components and fault analysis; load flow analysis; steady-state and transient stability analysis; load frequency control; circuit breakers and protective relays; basics of HVDC transmission and FACTS; power quality.

Power Electronics and Drives: Semiconductor power diodes and power transistors; thyristors family – SCR, Triac, GTO, MOSFET and IGBTs; SCRs – gatecharacteristics, static and dynamic characteristics, triggering circuits, phase control rectifiers, choppers, inverters, ac to ac converters; basis concepts and control of dc and ac drives; electrical traction.

MECHANICAL ENGINEERING

  1. Thermodynamics. Laws. Properties of ideal and real gases and vapors, Power Cycles, Gas Power Cycle, Gas Turbine Cycles, Fuels and Combustion
  2. I. C. Engine. C.I and S.I. Engines, Detonation. Fuel injection and carburetion. Performance and Testing. Turbo prop. Engines, Rocket Engines. Elementary knowledge of Nuclear Power Plants and Nuclear Fuels.
  3. Steam Boilers, Engines, Nozzles and Steam Turbines. Modern boilers. Steam Turbines, Types. Flow of steam thorough nozzles. Velocity diagrams for Impulse and Reaction Turbines. Efficiencies and Governing.
  4. Compressors, Gas Dynamics and Gas Turbines. Reciprocating, centrifugal and axial flow compressors. Energy transfer equation. Velocity diagrams. Efficiency and Performance. Gas Turbine Cycle with multistage compression. Reheating and Regeneration.
  5. Heat Transfer, Refrigeration and Air Conditioning. Conduction. Convection and Radiation. Heat Transfer, Heat Exchangers, Boiling and condensation. Refrigeration and heat pump cycles. Refrigeration systems. Coefficient of performance. Psychometric and psychometric chart. Comfort indices. Cooling and dehumidification methods. Industrial Air-conditioning Processes. Cooling and heating loads calculations.
  6. Fluid Mechanics and Machines. Fluids-Properties, Pressure. Forces, Buoyancy and stability. Laminar and turbulent flow, equation of continuity. Energy and momentum equation. Bernoulli’s Theorem. Dimensional analysis. Critical Reynolds number Layer concepts. Film lubrication. Incompressible flow through pipes, critical velocity. Friction loss due to sudden enlargement and contraction. Compressible flow through nozzles.
  7. Theory of Machines. Velocity and acceleration of moving bodies; in machines. Inertia forces in machines. Cams; Gears and Geartrains, Flywheels and Governors. Balancing of Rotating and Reciprocating Masses. Free and Forced vibrations of systems. Critical speeds and whirling of shafts.
  8. Machine Design. Design of : Joints-Threaded fasteners and Power Screws-Keys, Cotters, Couplings-Welded Joints. Transmission system :-Belt and chain drives-wire ropes-shafts. Gears-Sliding and Rolling bearings.
  9. Engineering Mechanics. Forces and moments-Equilibrium and analysis of force systems-friction-centre of gravity, moment of Innertia-Kinetics.
  10. Strength of Materials. Stress and strain in two dimension ; Mohr’s circles ; Relations between Elastic Constants. Beams- Bending Moments, Shear forces and deflection. Shafts- Combined bending, Direct and torsional stresses. Thick- Walled cylinders and spheres under Pressure, Spring, Struts and Columns. Theories of failure.
  11. Engineering Materials. Alloys and Alloying Materials, Heat treatment ; Composition Properties and uses. Plastics and other newer engineering materials.
  12. Metallurgy. Phase diagrams of Alloy systems, Iron carbon system, Solidification, Heat treatment Processes.
  13. Production Engineering. Metals Machining :-Cutting tools ; Tool Materials, Wear and Machinability, Measurement of cutting forces. Process :- Machining-Grinding, Boring, Gear Manufacturing, Metal forming, Metal Casting and Joining, Basic special purpose Programme and Numerically controlled machine Tools, Jigs and Fixtures (locating elements).
  14. Welding Proceres. Gas welding, Arc welding, resistance welding-welding equipment.
  15. Industrial Engineering. Work study and work measurement. Wage incentive. Design of Production Systems and Product Cost. Principals of plant Layout. Production Planning and Control. Material Handling. OperationsResearch. Linear Programming. Queuing Theory. Value Engineering. Network Analysis. CPM and PERT. Use of Computers.

 CIVIL ENGINEERING

 Structural Analysis: Analysis of statically determinate trusses, arches, beams, cables and frames, displace- ments in statically determinate structures and analysis of statically indeterminate structures by force / energy methods, analysis by displacement methods (slope deflection and moment distribution methods), influence lines for determinate and indeterminate structures. Basic concepts of matrix methods of structural analysis.

Strength of Materials : Bending moment and shear force in statically determinate beam. Simple stress and strain relationship: Stress and strain in two dimensions, principal stresses, stress transformation, Mohr’ s circle Simple bending theory, flexural and shear stresses, unsymmetrical bending, shear centre. Thin walled pressure vessels, uniform torsion, buckling of column, combined and direct bending stresses.

Steel Structures: Analysis and design of tension and compression members, beams and beam-columns, column bases. Connections- simple and eccentric, beam-column connections, plate girders and trusses Plastic analysis of beams and frames, IS Code provisions.

Concrete Structures: Concrete Technology- properties of concrete, basics of mix design – Special Concretes – Concrete design basic working stress and limit state design concepts, analysis of ultimate load capacity and design of members subjected to flexure, shear, compression and torsion by limit state methods. Basic elements of prestressed concrete, analysis of beam sections at transfer and service loads, IS Code provisions.

Soil Mechanics: Origin of soils, soil classification, three – phase system, fundamental definitions; relationship and interrelationships, permeability and seepage, effective stress principle, consolidation, compaction, shear strength.

Foundation Engineering: Sub-surface investigations- scope, drilling bore holes, sampling, penetration test plate load test. Earth pressure theories, effect of water table, layered soils. Stability of slopes- infinite slopes finite slopes. Foundation types-foundation design requirements. Shallow foundations- bearing capacity effect of shape, water table and other factors, stress distribution, settlement analysis in sands and clays. Deep foundations – pile types, dynamic and static formulae, load capacity of piles in sands and clays, negative skin friction.

Fluid Mechanics and Hydraulics: Properties of fluids, principle of conservation of mass, momentum, energy and corresponding equations, potential flow, applications of momentum and Bernoulli’ s equation, laminar and turbulent flow, flow in pipes, pipe networks. Concept of boundary layer and its growth. Uniform flow, critical flow and gradually varied flow in channels, specific energy concept, hydraulic jump. Forces on immersed bodies, flow measurements in channels, tanks and pipes. Dimensional analysis and hydraulic modeling. Kinematics of flow, velocity triangles and specific speed of pumps and turbines.

Hydrology: Hydrologic cycle, rainfall, evaporation, infiltration, stage discharge relationships, unit hydrographs, flood estimation, reservoir capacity, reservoir and channel routing. Well hydraulics.

Irrigation: Duty, delta, estimation of evapo-transpiration. Crop water requirements. Design of: lined and unlinedcanals, waterways, head works, gravity dams and spillways. Design of weirs on permeable foundation. Types of irrigation system, irrigation methods. Water logging and drainage, sodic soils.

ENVIRONMENTAL ENGINEERING

Water requirements: Quality standards, basic unit processes and operations for water treatment. Drinking water standards, water requirements, basic unit operations and unit processes for surface water treatment, distribution of water. Sewage and sewerage treatment, quantity and characteristics of wastewater. Primary, secondary and tertiary treatment of wastewater, sludge disposal, effluent discharge standards. Domestic wastewater treatment, quantity of characteristics of domestic wastewater, primary and secondary treatment Unit operations and unit processes of domestic wastewater, sludge disposal.

Air Pollution: Types of pollutants, their sources and impacts, air pollution meteorology, air pollution control, air quality standards and limits.

Municipal Solid Wastes: Characteristics, generation, collection and transportation of solid wastes, engineered systems for solid waste management (reuse/recycle, energy recovery, treatment and disposal).

Noise Pollution: Impacts of noise, permissible limits of noise pollution, measurement of noise and control of noise pollution.

TRANSPORTATION ENGINEERING

Highway Planning: Geometric design of highways, testing and specifications of paving materials, design of flexible and rigid pavements

Traffic Engineering: Traffic characteristics, theory of traffic flow, intersection design, traffic signs and signal design, highway capacity.

FACULTY OF PHARMACY

Ph. D. Eligibility Test-2022 – TEST PATTERN

The eligibility test will be of 90 minutes duration and question paper consists of 100 objective (multiple choice only) type questions

  • Exam will conduct in two parts. Part-A and Part-B.
  • Part-A contains 30 questions from Research Methodology (Common for all subjects)
  • Part-B Contains 70 questions from specific subjects.
  • The eligibility test will consist of any 3 or 4 varieties of objective type items such as analogies, classification, matching, comprehension of a research study / experiment / theoretical point of view, etc., with multiple answers besides the usual multiple choice items. The items will be framed only from the syllabus of eligibility test.
  • Maximum marks for eligibility test:100 marks
  • Nature of test:Objective type with multiple choice questions.
  • Medium of eligibility test:The medium of eligibility test will be English

         PART-A

  1. Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.
  2. Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of defining the Problem.
  3. Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design. Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

 PART-B

Pharmacy Syllabus

  PHARMACEUTICS

  1. (a) Professional Pharmacy: Professional Pharmacy, Pharmaceutical jurisprudence including Drugs and Cosmetics Act 1940 and rules 1945. Pharmacy Act 1948, Code of Pharmaceutical ethics. Prescription: definition, various parts of prescription and their functions, handling of prescription, sources of errors, care required in dispensing procedures including labeling of dispensed products, preliminary knowledge of important Latin terms used in the prescriptions and their translation in to English. Posology: Definition, Factors affecting dose selection. Calculation of children and infant doses. Drug regulatory agencies. Concepts on ICH, WHO, FDA, TGA, ISO, GMP, SOP, QBD, Patents etc.

 (b) Physical Pharmaceutics: States of mater, Physical properties of drug molecules, pH, buffers and                     isotonic solution, solubility phenomena, surface tension, interfacial phenomenon, Kinetics, Rheology,                 Micromeretics & powder flow, Diffusion and dissolution, Colloids, Complexation and protein                                 binding,dispersion systems

  1. Pharmaceutical Technology: Principles, Formulation, Ingredients, method of manufacture, evaluation, quality control tests, labeling and packaging of following class of product: Solid dosage forms- Tablets, coating, capsules, microcapsules, powders, granules etc. Liquid dosage forms- solutions, suspensions, emulsions, Semisolid dosage forms- ointment, creams, gels, suppositories, Parenterals- injections small volume, large volume, ophthalmic preparations and Pre-formulation studies, Stability studies and Pharmacopoeal specifications for various formulations. Formulation of cosmetics preparation like lipstick, shampoo, creams, nail preparations and dentifrices, powers etc.
  2. Biopharmaceutics and Pharmacokinetics and their importance in formulation. Introduction to biopharmaceutics: Drug absorption, distribution, metabolism and elimination. Compartment model- Definition and Scope. Pharmacokinetics of drug absorption – Zero order and first order absorption rate constant. Determination of pharmacokinetic parameters. Bioavailability and bioequivalence: Measures of bioavailability, Cmax, tmax, Kel and Area Under the Curve (AUC); Review of regulatory requirements for conducting bioequivalent studies. Biopharmaceutical Classification System (BCS) of drugs.

PHARMACEUTICAL CHEMISTRY

  1. Pharmaceutical Organic Chemistry: Structure, nomenclature and Stereochemistry of all drug molecules.
  2. Medicinal Chemistry: Structure, nomenclature, classification, synthesis, SAR and metabolism of the following category of drugs- Hypnotics and sedatives, analgesics, NSAIDs, neuroleptics, antidepressants, anxiolytics, anticonvulsants, antihistaminics, local anaesthetics, cardio vascular drugs, Antianginal agents, vasodilators, adrenergic & cholinergic drugs, cardiotonic agents, diuretics, antihypertensive drugs, hypoglycemic agents, antilipedmic agents, coagulants, anticoagulants, antiplatelet agents, Chemotherapeutic agents, Antibiotics, antibacterials, sulphadrugs. Antiproliozoal drugs, antiviral, antitubercular, antimalarial, anticancer, antiamoebic drugs.
  3. Biochemistry: Biochemical role of hormones, vitamins, enzymes, nucleic acids, bioenergetics. General principles of immunology. Immunological. Metabolism of carbohydrate, lipids, proteins. Methods to determine, kidney & liver function. Lipid profiles.

PHARMACEUTICAL ANALYSIS

  1. Chromatographic methods of pharmaceutical analysis: Principles of separation, theory, instrumentation and applications of Column chromatography, Paper chromatography, Ion Exchange chromatography, TLC and HPTLC, HPLC, Gas chromatography, Ion exchange chromatography & electrophoresis
  2. Instrumental methods of pharmaceutical analysis: Theoretical aspects, instrumentation, elements of interpretation of spectra, and applications of Ultraviolet and Visible spectrophotometry, Spectrofluorimetry, Infrared spectrophotometry, Nuclear Magnetic Resonance spectroscopy, Mass Spectrometry, Flame Photometry, Atomic Absorption Spectroscopy, X-ray Diffraction Analysis, Thermal methods (TGA, DSC, DTA)
  3. Quality assurance: GLP, ISO 9000, TQM, Validation, quality audit, quality of equipment, validation of equipment and validation of analytical procedures.

PHARMACOGNOSY AND PHYTOCHEMISTRY

  1. Systematic pharmacognostic study of the followings: Carbohydrates and derived products: Agar, guar gum, acacia, Honey, Isabagol, pectin and Tragacanth. Lipids: Bees wax, Castor oil, Codliver oil, Shark liver oil and Wool fat. Resins: Colophony, podophyllum, jalap, cannabis, capsicum, myrrh, asafoetida, balsam of Tolu, balsam of Peru, benzoin, turmeric, ginger. Volatile oils: Mentha, Coriander, Cinnamon, Cassia, Lemon peel, Orange peel, Lemon grass, Citronella, Caraway, Dill, Clove, Fennel, Nutmeg, Eucalyptus, Chenopodium, Cardamom, Sandal wood.
  2. Study of the biological sources, cultivation, collection, commercial varieties, chemical constituents, substitutes, adulterants, uses, diagnostic macroscopic and microscopic features and specific chemical tests of following groups of drugs.- Cardioactive glycosides: Digitalis, squill, strophanthus and thevetia, Anthraquinones: Aloe, senna, rhubarb and cascara, Alkaloid containing drugs: Pyridine-piperidine: Tobacco, areca and lobelia. Tropane: Belladonna, hyoscyamus, datura, duboisia, coca and withania. Quinoline and Isoquinoline: Cinchona, ipecac, opium. Indole: Vinca alkaloids, Ergot, rauwolfia, catharanthus, nux-vomica and physostigma. Steroidal: kurchi. Purines: Coffee, tea and cola.
  3. Selection of plant materials, claims of folklore on traditional systems, Authentication of plant materials by various organizations. Extraction methods of plant materials, isolation techniques of plant constituents, characterization of the isolates by spectroscopy techniques (UV, IR, NMR and Mass). Methods of isolation of volatile oils and their identification & Chemical identification of plant constituents

PHARMACOLOGY

  1. (a) Fundamentals of general pharmacology: Dosage forms and routes of administration, mechanism of action, combined effect of drugs, factors modifying drug action, tolerance and dependence; Pharmacogenetics; Principles of Basic and Clinical pharmacokinetics, absorption, Distribution, Metabolism and Excretion of drugs, Adverse Drug Reactions; Bioassay of Drugs and Biological Standardization; Discovery and development of new drugs, Bioavailability and bioequivalence studies.

(b) Pharmacology of Peripheral Nervous System: Neurohumoral transmission (autonomic and                somatic), Parasympathomimetics, Parasympatholytics, Sympathomimetics, Adrenergic receptor and                    neuron blocking agents, Ganglion stimulants and blocking agents, Neuromuscular blocking Agents,                      Local anesthetic Agents.

     (c) Pharmacology of Central Nervous System: Neurohumoral transmission in the C.N.S., General              Anesthetics, Alcohols and disulfiram, Sedatives, Hypnotics, Anti-anxiety agents and Centrally acting                    muscle relaxants, Psychopharmacological agents (anti-psychotics), antimaniacs, and hallucinogens,                    Antidepressants, Anti-epileptics drugs, Anti-Parkinsonism drugs, Analgesics, Antipyretics, Narcotic                    analgesics and antagonists, C.N.S. stimulants, Drug Addiction and Drug Abuse.

 

  1. (a) Pharmacology of Cardiovascular System: Drugs used in the management of congestive cardiac failure, Antihypertensive drugs, Anti-angina drugs and Vasodilator drugs, including calcium channel blockers and beta adrenergic antagonists, Anti arrhythmic drugs, Anti-hyperlipidemic drugs, drugs used in the therapy of shock.

(b) Drugs acting on urinary system: Fluid and electrolyte balance, Diuretics. Anti-diuretics; Drugs              Acting on the Respiratory System: Anti-asthmatic drugs including bronchodilators, Anti-tussives and                  expectorants, Respiratory stimulants.

       (c) Drugs acting on the Gastrointestinal Tract: Antacids, Anti-secretory and Anti-ulcer drugs,                    Laxatives and anti-diarrhoeal drugs, Appetite Stimulants and Suppressants, Emetics and anti-emetics,                Miscellaneous: Carminatives, demulcents, protectives, adsorbents, astringents, digestants, enzymes and              mucolytics.

 

  1. (a) Pharmacology of Endocrine System: Hypothalamic and pituitary hormones, Thyroid hormones and anti-thyroid drugs, parathormone, calcitonin and Vitamin D, Insulin, glucagons, incretins, oral hypoglycemic agents and insulin analogs, ACTH and corticosteroids, Androgens and anabolic steroids, Estrogens, progesterone and oral contraceptives, Drugs acting on the uterus.

          (b) Chemotherapy: General Principles of Chemotherapy, Bacterial resistance; Sulfonamides and                       cotrimoxazole, Anticancer drugs, Antibiotics- Penicillins, Cephalosporins, Aminoglycosides,                                   Chloramphenicol, Macrolides, Tetracyclines, Quinolones, fluoroquinolones and Miscellaneous                               antibiotics; Chemotherapy of tuberculosis, leprosy, fungal diseases, viral diseases, HIV and AIDS.

 

Faculty of Science

Ph. D. Eligibility Test-2022 – TEST PATTERN

  • The eligibility test will be of 90 minutes duration and question paper consists of 100 objective (multiple choice only) type questions
  • Exam will conduct in two parts. Part-A and Part-B.  
  • Part-A contains 50 questions from Research Methodology (Common for all subjects)
  • Part-B Contains 50 questions from specific subjects.
  • The eligibility test will consist of any 3 or 4 varieties of objective type items such as analogies, classification, matching, comprehension of a research study / experiment / theoretical point of view, etc., with multiple answers besides the usual multiple choice items. The items will be framed only from the syllabus of eligibility test.

 

  • Maximum marks for eligibility test:100 marks
  • Nature of test:Objective type with multiple choice questions.
  • Medium of eligibility test:The medium of eligibility test will be English

BIOCHEMISTRY

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of defining the Problem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design. Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

Unit 1: Statistics and Quantitative Problems in Biochemistry

Measures Of Central Tendency – Mean, Median And Mode Of Grouped Data, Variance, Standard Deviation, Standard Error, Graphical Representation Of Data, Correlation And Regression Probability In Biology, Normal, Binomial, Poisson Distribution. Student’s T-Test, Chi-Square Test.Aqueous Solutions (Molarity, Molality And Normality), Acid And Bases, Buffers, Calculation Of Equilibrium Constants, Oxidation and Reduction Reactions, Radioactivity (Specific Activity Half  Life  And Isotope Dilution And Dual Labeling) And Beer Lamberts Laws. Enzyme Units  and  Specific  Activity Of Enzymes, Km And Vmax, EnzymeInhibitors.

Unit 2 : Biochemical Techniques And Bioinformatics

Principles, Instrumentation and Applications Of VIS, UV Fluorescence Spectroscopy.

Separation Methods: Chromatography And Electrophoresis; Principles And Applications Of Different Types Of Chromatography (Partition, Adsorption, Ion Ex Change, Affinity Etc.,). Instrumentation And Applications Of HPLC, GC, Atomic Absorption Spectroscopy And MS (MALDI-TOF). Principle And Applications Of Electrophoresis. Agarose and SDSPAGE. Disc GelElectrophoresis, Isoelectricfocusing,  2DElectrophoresis,CapillaryElectrophoresisAndPFGE.DNASequencingAndTransferTechniques.

Use Of Databases; Data Mining, DNA Sequence Databases, Protein Sequence And Structure Databases, Comparing DNA Sequences, Alignment, Multiple Sequence Alignments, Clustalw.

Genomics; HUGO & HGP; Strategies For Sequencing Genomes, Shotgun Sequencing,  Physical  Maps, Ests And Hierarchical Sequencing Micro-Arrays For Sequencing And Resequencing, Snps And Human Disease.

Proteomics: Comparing Protein Sequences, Alignment, Predicting Secondary Structure – AbInitio,Homology Folding, Threading. MS

Unit 3: Cell Biology And Biomolecules

Cell Division And Cell Cycle, Fundamental Aspects Of Cell Culture, Apoptosis, Stem Cells And Their Medical Applications, Discovery Of Oncogenes, Proto-Oncogenes, Discovery Of Tumor Suppressor  Genes.

Cell Communication And Type Of Signaling Molecules (Hydrophobic And Hydrophilic), Types Of Receptors And Their Structures, Second Messengers – Ca, Phosphoinositides, And Camp.

Metabolism; Carbohydrate, Lipid And Nuclei Acid Metabolism. Associated Disorders.

Mechanism of Enzyme catalysis.

Immunonology; Overview And Elements Of Immune System, Antibodies – Structure Of Ig, Function Of Various Domains, Antigen Antibody Interactions – Avidity, Affinity, Idiotypes, Generation Of Antibody Diversity, Cytokines, Interferons And Autoimmunity,

Immunological techniques (basic and applied)

Unit 4: Molecular Biology

Replication Transcription And Translation In Prokaryotes And Eukaryotes: Models Of Replication – Random, Conservative, Semiconservative, DNA Polymerases In E. Coli & Mammals, Replication Of Circular Chromosomes -Φx174, E. ColiReplication Of Linear Chromosomes, Telomeres, Telomerases. DNA Damage, Repair and Recombination.

Transcription And Translation, Protein Synthesis, Sorting, Targeting And Degradation.

Regulation Of Gene Expression; Operon Concept, +Ve& -Ve Control -Lac Operon, Chromatin Structure  In Active And Inactive Regions – DNA Methylation, Transcriptional Control – Cell Specific Expression – Promoters, Enhancers, DNA Binding Proteins, Regulation By SiRNA.

Scope and importance of Microbiology Classification of microbial world according to two kingdoms three kingdoms five kingdoms three domains Outlines of bacterial classification according to bergeys manual of systemic bacteriology Microbial techniques Sterilization Staining and isolations.Recombinant DNA Technology: Plasmids And Vectors, DNA Modifying Enzymes, Restriction Endonucleases, Genomic And Cdna Libraries, Reporter Genes And Fusion Proteins.Molecular techniques.

BIOTECHNOLOGY

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of defining the Problem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design. Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

  1. Structure of Prokaryotic and Eukaryotic cells. Ultra structure and functions of Cell organelles. Cell division and regulation of cell cycle. Cell-cell interaction. Cell signaling-Hormones and their receptors.Classification of bacteria and virus.Bacterial staining techniques. Bacterial growth curve. Microbiology of Soil and water. Clinically important bacteria and viruses. Bacterialrecombination.
  2. Classification, structure, properties, functions of Biomolecules-carbohydrates, lipids, amino acids, proteins, nucleic acids and vitamins. Metabolic pathways and disorders of carbohydrates, lipids, amino acids, proteins and nucleic acids. Enzymes-factors affecting enzyme activity, Enzyme inhibition, Coenzymes, metalloenzymes, allosteric enzymes, isoenzymes andribozyme.
  3. Nature of Genetic material, organization of Genetic material in prokaryotes and eukaryotes, DNA replication, transcription and translation in prokaryotes and eukaryotes. Inhibitors of Protein synthesis. DNA damage and repair. Regulation of gene expression in prokaryotes andeukaryotes.
  4. Principles of Mendelian inheritance, Linkage and crossing over. Cytoplasmic inheritance. Pedigree analysis. Hardy-Weinburg law. DNA methylation and Chromatin remodeling in gene expression Environmental regulation of gene expression. RNAi and Gene silencing.
  5. Plant Tissue culture. Phytohormones. Edible vaccines and plantibodies. Plant secondary metabolites. Maintenance of Primary and established animal cell lines. Stem cells – Embryonic and Adult stem cells. Application of stem cells. Concepts of immune response. Cells and organs of the immune system Antigens. Antibodies-generation of antibodydiversity.

CHEMISTRY

 PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART B

Metal-ligand bonding: Crystal field theory – crystal field splitting patterns in octahedral, tetrahedral tetragonal, square planar, square pyramidal and trigonalbipyramidal geometries- Determination of crystal field splitting energy – calculation of crystal field stabilization energies – Factors affecting crystal field splitting energies- spectrochemical series – MLCT and LMCT transitions in coordination compounds – Jahn-Teller effect –Molecular Orbital theory – ligand field theory.

Electronic spectra: Term symbols – Russell – Saunders coupling – derivation of term symbols for various configurations – Spectroscopic ground states – selection rules -correlation diagrams; Orgel and Tanabe-Sugano diagrams for transition metal complexes (d1-d9 states) – calculations of Dq, B and β parameters – charge transferspectra.

Metal-Ligand Equilibria in solutions: Stepwise and overall formation constants and their interaction -Trends in successive formation constants – Factors effecting the stability of metal complexes with reference to the nature of metal ion and ligand – The chelate effect – Determination of formation constants by pH metry and spectrophotometry – The Irving-Williams series.

Mechanisms of Inorganic Reactions-I: Energy profile of reaction – reactivity of metal complexes – Inert and labile complexes – Substitution reactions in octahedral complexes: kinetics

of octahedral substitution, acid hydrolysis, factors affecting acid hydrolysis, base hydrolysis, conjugate base mechanism, anation reactions, reactions without metal ligand bond cleavage – Substitution reactions in square planar complexes – The trans effect in Pt(II) complexes – Polarisation and π-bonding theories of trans effect.

Mechanisms of Inorganic Reactions-II: Oxidation-reduction reactions- classification of redox reactions – mechanism of one electron transfer reactions – Inner sphere redox reactions – outer sphere redox reactions – mixed inner and outer sphere reactions – two equivalent-one equivalent reactions of thallium(III)-thallium(I) and Hg(I)-Hg(II).

Bioinorganic Chemistry: Metal ions in Biology; Molecular mechanism of ion transport across membranes- ionophores; Photosynthesis; Nitrogen fixation; Oxygen uptake proteins – hemoglobin and myoglobin; Electron transfer proteins – Cytochromes and Ferrodoxins; Inorganic medicinal compounds – superoxide dismutage mimics, vanadium based diabetic drugs and platinum containing anticanceragents.

Organometallic Chemistry: Introduction, Nomenclature, the 18-electron rule. Metal carbonyls, structure and bonding, vibrational spectra of metal carbonyls for bonding and structural elucidation, important reactions of metal carbonyls; preparation, bonding, structure and important reactions of transition metal nitrosyl, dinitrogen and dioxygen complexes; tertiary phosphine as ligand; Metallocenes-ferrocene; Catalysis by organometallic compounds – hydrogenation, hydroformylation, andpolymerization.

Metal Clusters: Higher boranes, carboranes, metalloboranes and metallocarboranes. Metal compounds with metal-metal multiple bonds. Preparation, properties and structures of Re2Cl82-, Mo2Cl84-, Re2(RCOO)4X2, Cr2Cl93-, W2Cl93-, Re3Cl9, Re3Cl123-, Mo6Cl84+, Nb6Cl122+.

Solid State and Structural Chemistry: Crystal structures – close packing, body centered and primitive structures; Symmetry in crystals, Crystallographic point groups; Description of structures – AB structures (NaCl, CsCl, ZnS), AB2 structures (Rutile, Fluorite), A2B3 structures (β-Al2O3), ABO3 structures (perovskite) and AB2O4Spinels.

Nature of bonding in Organic Molecules: Localised and delocalised covalent bond, concept of aromaticityannulenes and hetero annulenes, inductive and mesomeric effects. Huckel’s rule for aromaticity in benzenoid and non-benzenoid compounds, anti-aromaticity and homo-aromaticity. Introduction to types of organic reactions and reactive intermediates.

Stereochemistry and Stereoisomerism: Conformational isomerism and analysis in acyclic and simple cyclic systems – substituted ethanes, cyclopentane, cyclohexane, cycloheptane, cyclo octane and decalins. Optical isomerism – optical activity -molecular dissymmetry and chirality (Chiral centre, chiral axis, chiral plane), elements of symmetry. Fisher’s projection D,L. and R,S. configurations – relative and absolute configurations, optical isomerism due toasymmetriccarbon atoms, optical isomerism in biphenyls, allenes and spirans. Optical isomerism of nitrogenous compounds, racemisation and resolution – geometrical isomerism and E,Z configurations, properties of geometrical isomers. Recognition of symmetry elements and chiral structures, R-S-nomenclature, diastereoisomerism in acylic and cyclic systems inter conversions of Fisher, Newman and Saw-horse projections.

Addition Mechanisms: Addition to carbon-carbon multiple bonds. Addition reactions involving electrophiles, nucleophiles and free radicals, cyclic mechanisms, orientation and stereochemistry.

Rearrangements: Classification and general mechanistic treatment of nucleophilic, free radical and electrophilic rearrangements, Wagner–Meerwein, Tiffeneau–Demjanov rearrangement, Neber, Hofmann, Stevens ,Wittig and Fries rearrangements.

Natural Products: Isolation, structure elucidation and synthesis of alkaloids: atropine, nicotine, papaverine, purines: caffeine. flavonoids: quercetin: genestein. terpenoids: citral ,α- terpeneol, camphor.

Aliphatic and Aromatic Substitution Reactions: Nucleophilic – The SN2, SN1, SNi and SET mechanisms, neighbouring group participation, anchimeric assistance, classical and non classicalcarbocations, phenonium ions, norbornyl system, allylic, aliphatic, trigonal and vinylic carbon, factors effecting substitutions.Electrophilic – SE1, SE2 and SEi Mechanisms and related effects.

Elimination Reactions: The E2, E1 and E1cB mechanisms and their orientation of the double bond. Reactivity-effects of substrate structure, attacking base, leaving group and the medium.Stereochemistry of eliminations in acyclic and cyclic systems, orientation in eliminations – Saytzeff and Hoffman elimination, Regio and stereo selectivity reactions.

Basic concepts of some organic reactions: Aldol, Stobbe, Cannizaro, Wittig, Grignard, Reformatsky Reactions. Openauer oxidation, Clemmensen reduction , Birch reductions, Michael addition, Mannich Reaction, Diels – Alder reaction, Ene-reaction, Bayer -Villiger Reaction, Wolf-Kishner reduction, Favorskii reaction, Chichibabin reaction. Vilsmeier, Robinson annulation.

Synthesis and Reactivity of the compounds with one heteroatom: Pyrrole, Furan, Thiophene, Pyridine, Quinoline, Isoquinoline, Indole, Benzofuran and Benzothiophene.Synthesis and Reactivity of the compounds with more than one heteroatom Pyrazole, Imidazole, Oxazole, Isoxazole, Thiazole, Isothiazole, Pyridazine, Pyrimidine ,Pyrazine and Purine.

Organic Synthesis: Synthesis, reactions, mechanisms and selectivity involving the following classes of compounds – alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids, esters, nitriles, halides, nitro compounds, amines and amides. Uses of Mg, Li, Cu, B, Zn and Si based reagents in organic synthesis.

Carboncarbon bond formation through coupling reactions – Heck, Suzuki, Stille and Sonogoshira.Selectivity in organic synthesis – chemo, region and stereoselectivity.Protection and deprotection of functional groups.Concepts of asymmetric synthesis – resolution (including enzymatic), desymmetrization and use of chiral auxilliaries.Carbon-carbon bond forming reactions through enolates (including boron enolates), enamines and silylenol ethers.Michael addition reaction.Stereoselective addition to C=O groups (Cram and FelkinAnh models).

Pericyclic Reactions and Photochemistry: Electrocyclic, cycloaddition and sigmatropic reactions. Orbital correlations – FMO and PMO treatments. Photochemistry of alkenes, arenes and carbonyl compounds. Photooxidation and photoreduction.Diπmethane rearrangement and Barton reaction.

Theories of reaction rates– Collision theory, Arrhenious reaction; Theory of absolute reaction rates-Reaction coordinate, transition state, thermodynamic formulation of reaction rates; Unimolecular reactions- Lindemann’s theory and RRKM theory; Reactions in solution– primary and secondary salt effects, effect of solvent on reaction rate; effect of substituent on reactionrate

  • Hamett and Taft equations with examples – Linear Free Energy relations.

Catalysis: Homogeneous catalysis- acid-base catalysis- mechanism of acid-base catalysis – Enzyme catalysis- Michaelis-Menten kinetics – Heterogeneous catalysis- Langmuir adsorption isotherm- unimolecular and bimolecular reactions-catalytic poisoning-active centers, surface area-determination of surface area with BET equation.

Complex reactions: Opposing, parallel and consecutive reactions (all first order type)- derivation of rate-law, Chain reactions- derivation of rate-laws for H2-Cl2 and H2-Br2 reactions; Fast reactions-study of fast reactions by flow methods and relaxationmethods.

Second law of thermodynamics– concept of entropy-entropy change in reversible process and irreversible process-entropy of mixing; Fugacity: concept-Determination- Variation of fugacity with pressure; concept of partial molar properties- chemical potential-significance-variation with preassure and temperature- Gibbs-Duhem equation; Van’t Hoff reaction isotherm, Claussius- Claperyon equation

Third law of thermodynamics– Nernst heat theorem-determination of absolute entropy- limitations of third law of thermodynamics; Maxwell-Boltzmann, Bose-Einstein and Fermi-Diracstatistics, Partition function-rotational, translational, vibrational and electronic partition functions for diatomic molecules.

Electrochemical cells: Measurement of EMF-Nernst equation-effect of complexation on electrode potential; Polarization-Decomposition potential and overvoltage- Factors affecting overvoltage- Importance of over-voltage; Activity and activity coefficients- determination of mean ionic activity coefficient by EMF method; Debye-Huckel limiting law (DHLL) and its verification, Extended Debye-Huckel law; Debye-Huckel-Onsagar equation(derivation not required)-verification and its limitations.Applications: Batteries-primary and secondary cells – lechlanche cell, lead acid storage battery, Nickel-Cadmium cell; Fuel cells-Oxygen-hydrogen fuel cell; Corrosion- theories of dry and wet corrosion-different forms of corrosion- prevention and control of corrosion – cathodic protection- sacrificial anodic and impressed current methods- inhibitors-anodic and cathodic inhibitors; protective coatings-galvanising and tinning

Adsorption:Gibbs adsorption isotherm, types of adsorption isotherms, physisorption and chemisorption, , Langmuir and Freundlich isotherms. BET equation (derivation not required) and surface area determination. Kinetics of surface reactions involving adsorbed species, Langmuir-Hinshelwood mechanism,

Micelles :Surface active agents- classification- critical micellar concentration (CMC)- factors affecting the CMC of surfactants- determination of cmc. Solubilisation-factors influencing the solubilisation.Micellization-thermodynamics of micellization.Micro emulsions- comparision of microemulsions with conventional emulsions-applications. Reverse micelles.

Polymer chemistry :Basic concepts- monomers, repeat units, degree of polymerization, linear, branched and network polymers, classification of polymers. Polymerization-Free radical, ionic and co-ordination polymerization.Kinetics of condensation (step-growth), free-radical and ionic polymerizations. Physical characterization: Number and mass average molecular weights (Mn, Mw), Determination of molecular masses – Osmometry, viscometry and light scattering methods

Wave equation-interpretation of wave function-properties of wave function-normalization and orthogonalisation, operators-linear and non linearcommutators of operators.Postulates of quantum mechanics, setting up of operators observables- Hermitian operator-Eigen values of Hermitian operator Particle in one dimensional box.

Particle in a three dimensional box, rigid rotor, wave mechanics of systems with variable potential energy- simple harmonic oscillator- solution of wave equation-selection rules.

Approximation methods: Perturbation theory- application to ground state energy of Helium atom; Variation principle-applications- calculation of zero point energy of harmonic oscillator. Many electron atom-Hartee-Fock Self consistent field method (qualitative treatment only).

Bonding in molecules: Born-Oppenheimer approximation- Hydrogen molecule ion, LCAO-MO and VB treatments of the hydrogen molecule (fundamental concepts only); electron density, forces and their role in chemical bonding.Hybridization and valence MOs of H2O, NH3 and CH4.Huckel pi-electron theory and its applications to Ethylene, Butadiene and Benzene.

Symmetry and Group Theory in Chemistry: Symmetry elements and symmetry operations and point groups, Schoenflles symbols, classification of molecules into point groups, Axioms of group theory, group multiplication tables for C2v and C3v point groups, representations- reducible and irreducible representations, Mulliken symbols, orthogonality theorem (without proof) and its implications, Character table and itsanatomy.

Spectroscopy-Unifying Principles: Electromagnetic radiation- interaction of electromagnetic radiation with matter- absorption, emission, transmission, reflection, refraction, dispersion and scattering Polarization: polarization of light; plane of vibration,plane of polarization, optical activity, factors effecting the angle of rotation, specific rotation, optical rotator dispersion and circular dichroism, cotton effect .

Vibrational and rotational Spectroscopy : Rotational spectra of diatomic molecules- rigid rotor-selection rules- calculation of bond length- isotopic effect- second order stark effect and its applications, infrared spectra of diatomic molecules-harmonic and anharmonic oscillators- Selection rules- overtones-combination bands-calculation of force constant-anharmonicity constant and Zero point energy . Fermi resonance, simultaneous vibration-rotation spectra of diatomic molecules .

Raman Spectroscopy: Raman effect-Classical and quantum mechanical explanations- pure rotational, vibrational and vibrational-rotational Raman spectra- selection rules, mutual exclusion principle.

Electronic Spectroscopy: Electronic spectra of diatomic molecules- vibrational course structure- intensity of spectral lines- Franck-Condon principle –applications- rotational fine structure –band head and band shading- charge transferspectra.

Electron Spin Resonance Spectroscopy: Basic principles, zero field splitting- factors affecting the ‘g’ value. Isotropic and anisotropic hyperfine coupling constants- experimental technique – applications of ESR studies:deuterium,methyl free radical,benzene free radical,parabenzo semi quinine, copper phthalo cyanine, chloroform,hemoglobin, glycene and alanine.

COMPUTER SCIENCE

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

Unit I: Data Structures: Understanding of fundamental data structures- Lists, Stacks, Queues, Heaps, Trees, Graphs and their applications. Searching and Sorting Techniques.

Unit II: Operating Systems: Functions, Types of OS, Operating System Structure, Services, System Boot, Process, CPU Scheduling, Process Synchronization, Deadlocks, Memory Management, File Access Methods, Unix Structure and Simple Commands.

Unit III: Object Oriented Programming: Principles of Object Oriented Programming, C++ Tokens, Expressions, Control Structures, Functions in C++, Classes and Objects, Constructors and Destructors, Operator Overloading, Inheritance, Polymorphism, Exception Handling.

Unit IV:  Database Management System: Introduction, Data Models, Schemas and Instance, ThreeSchema Architecture and Data Independence, E-R Diagrams, Relational Model, Database Design, Integrity Constraints, Normal Forms, SQL Queries.

MATHEMATICS

PART-A

Research Methodology:Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem:What is a Research Problem? Selecting the Problem, Necessity of Defining the Problem.

Research Designing:Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design :Census and Sample Survey, Implications of Sample Design, Steps in Sampling Design, Criteria of Selecting a Sapling Procedure.

PART-B

Real Analysis :Finite, countable and uncountable sets, Metric spaces, compact sets, perfect sets, connected sets. Limits of functions, continuous functions, continuous and compactness, continuity and connectedness, discontinuities, monotone functions, infinite limits and limits at infinity.The Continuity of Derivatives, Derivatives of Higher Order-Taylor’s Theorem, Differentiation of Vector-valued Functions.Definition and Existence of the Integral-Properties of the Integral-Integration and Differentiation.

Complex Analysis :Analytic functions and harmonic functions, Cauchy-Riemann equations, sufficient conditions. Contour integration, Cauchy-Goursat theorem antiderivatives, Integral representation for analytic functions, theorems of Morera and Liouville, uniform convergence of series, Taylor and Laurent series representations, singularities, zeros and poles, Applications of Taylor and Laurent series.

Differential Equations :Ordinary differential equations, existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ordinary differential equations, Boundary value problems. Partial Differential equations : Lagrange and Charpits methods.

Linear Algebra :Vector spaces, subspaces ,quotient spaces ,linear independence and linear dependence, Bases and dimension, kernel, range, isomorphism, Matrix representation of linear transformation, dual spaces Cayley Hamilton theorem, Canonical forms, Inner product spaces.

 MICROBIOLOGY

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

Unit I :Morphology and ultrastructure of microorganisms. Sterilization techniques, Types of media, cultivation of microbes, preservation of microbial cultures, Microscopy, staining techniques, bacterial growth kinetics.Fermented foods, SCP, food microbiology.Biofertilizers, Biopesticides. Microbial ecology, Extremophiles.Design and types of fermentors, upstream and downstream processing.

Unit II : Classification, chemistry, properties and functions of metabolism Carbohydrates, Lipids, proteins, nucleic acids –of carbohydrates, amino acids, Enzymes : classification, nomenclature, assay & kinetics. Ribozymes and abzymes.Enzyme inhibition.Enzyme purification.Centrifugation, chromatographic techniques andelectrophoresis.

Unit III :Types of immunity. Antigens & antibody, Ag-Ab reactions.The complement system. Major Histocompatibility Complex (MHC), Human leucocyte antigen (HLA) restriction. Hypersensitive reactions, Autoimmunity. Immunodeficiency diseases, MABs.; Immunization. Major infectious diseases.Antimicrobial agents, new emergingpathogens.

Unit IV :Microbial genetics- genome organisation, DNA structure function, mutations and repairs, recombination in bacteria. Recombinant DNA technology, Blotting techniques. PCR.Cloning vectors.Genomic / gene libraries.DNA sequencing methods.Restriction mapping.Microarrays.Transgenic organisms.Gene therapy.Bioethics.

 

PHYSICS

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

 Unit-I :Classical, Quantum and Statistical Mechanics  Classical Mechanics

D-Alembert’s Principle, lagrange’s equation, hamilton’s equation of motion and conservation theorems. Euler angles, canonical transformation and poisson brackets.

Quantum Mechanics :General formalism of wave mechanics, schrodinger’s wave equation, angular momentum operators, time independent and dependent perturbation theory. Scattering phenomena, differential – cross section and Born approximation.

Statistical Mechanics :Postulates of statistical mechanics, probability calculations and general interaction between systems. Ensemble- its types- probability calculations, mean energies and dispersions of ensembles. Quantum Statistics .Equation of state for Ideal Bose and Fermi gas, Bose -Einstien condensation, theory of white dwarf stars.

Unit-II : Electrodynamics

Electromotive force-ohm’s law, Motional EMF, electromagnetic induction –Faraday laws, induced electric field, inductance, energy in magnetic fields. Maxwell equations-magnetic charge, Maxwell’s equations in matter, charge and energy equation, Poynting theorem in electromagnetic theory.

 

Unit-III :Solid State Physics & Nuclear Physics

Crystal structure, latticevibrations -mono and diatomic,specific heat theories- Einstein’s and Debye’s theories. Energy bands in solids- Kronig Penney model, concept of effective mass. Polarisability- theory of electronic, ionic and orientational polarization and classification of magnetic materials.

Nuclear Physics: General properties of nuclei, scattering of α-particles – Experimental verification – Nuclear size – Theories of nuclear composition,– Binding energy – semi empirical mass formula and applications. Interaction of gamma rays with matter – photo electric effect, Compton effect, pair production. Detection of nuclear radiation- ionization chamber and proportional counter. Nuclear fission and fusion

Unit-IV : Low dimensional Physics and ElectronicsElectromagnetic Spectrum, molecular energies, classification of molecules, rotational, vibrational and vibrational-rotational spectra of diatomic molecules, characteristic group absorptions, IR spectrometer, electronic spectra, frank condon principle. Hydrogen atom-spectrum, orbital angular momentum, larmor precession, Stern and gerlach experiment, Energy levels and transitions in helium atom, normal and anomalous zeeman effect.

Electronics:Basics of semiconductor, semiconductor diodes, transistors, rectifiers, amplifiers, active Filters and oscillators. Basics of OPAMPs and their applications.Basics of digital electronics.

STATSTICS

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

    1. Probability : Sample space, events, relations among events, classical and relative frequency definitions of probability, probability as a measure. Basic results on probability of events. Conditional probability and Baye’s theorem. Independence of events.Random variables (discrete and continuous).Distribution function and its properties.Joint distribution of two and more random variables.Marginal, conditional distributions and densities.Expectation of random variables, moments and generating functions.Conditional expectation. Characteristics function and its properties. Inversion theorem.Statement of continuity theorem.

      Convergence of a sequence of events. Borel – Cantelli lemma, Borel 0-1 law and statement of Kolmogorov 0-1 law with applications. Convergence of a sequence of random variables.Convergence in law, in probability, with probability one and in quadratic mean and other inter-relationships.Convergence in law of Xn + Yn, XnYn and Xn/Yn.Definition and examples of weak law of large numbers.Khintchene’s theorem and strong law of large numbers.

      Statement of CLT. Lindberg-Levy and Liapunov forms of central limit theorems, statement of Lindberg – Feller form of CLT with simple illustrations.

      Stochastic processes with examples. Markov Chains transition probability matrix and classification of states of a Markov chain with examples.

    2. Distribution Theory : Theoretical distribution – Binomial, Poisson, negative binomial, geometric, hypergeometric, multinominal, rectangular, normal, lognormal, exponential, gamma, beta, Cauchy, weibull and Pareto distributions with propertiesTransformation of random variables. Distribution of Chi – squares, t and F distributions and their properties. Distribution of X and s2 for samples coming from normal population.Distribution of order statistics and range.Joint and marginal distribution of order statistics.Distribution of sample quantiles.

      Multivariate normal distribution and its marginal and conditional distribution with examples.Simple correlation and lines of regression.

    3. Estimation :Unbiasedness, sufficiency, consistency and efficiency of a point estimate with examples. Statement of Neyman’s factorization criterion with applications. Minimum variance unbiased estimation, Crammer – Raolower bound and its applications. Rao – Blackwell theorem, completeness and Lehman – Scheffe theorem. Estimation by method of maximum likelihood, moments and statement of its properties. Confidence intervals for the parameters of normal, exponential, binomial and Poisson distribution.
    4. Testing of Hypotheses : Concepts of tests of statistical hypothesis, types of error, level of significances, power, critical region and test function. Concepts of MP and UMP tests. Neyman – Pearson lemma and its applications, one parameter exponential family of distributions. Concepts of unbiased and consistent tests. Likelihood ratio (LR) criterion with simple applications (including homogeneity of variances). Statements of asymptotic properties of LR tests. Large sample tests of population means, proportions and correlation coefficients. Relation between confidence intervals, and hypothesis testing. Wald’s SPRT for testing a simple null hypothesis against simple alternative hypothesis and its OC and ASN functions. SPRT procedure for binomial, Poisson, normal and exponential distributions.
    5. Non – Parametric Tests : Non – parametric tests for (i) one sample case: sign test, Wilcoxon signed rank test for symmetry, runs test for randomness, Kolmogorov – Smirnov (k-s) test for goodness of fit (ii) two sample case: sign and Wilcoxon tests for paired comparisons. Wilcoxon – Mann Whitney test and K –S test and test for independence based on spearman’s rank correlation. Kruskal-Wallis test and Friedman’s test.
    6. Multivariate Tests : Principal Component Analysis, Factor analysis, Canonical Correlation, Cluster analysis. Multivariate tests based on Hotelling’s T2 and Mahalanobis D2 statistics for one sample problem, two sample problem and classificatory problems between two normal populations based on Fisher’s discriminant function.
    7. Sampling Techniques : Estimation of population mean, population total and variance of the estimator in the following sampling methods: simple random sampling with and without replacements and equal and unequal probabilities. Horwitz Thompson and Yates and Grundy estimators. Selection of sample and determination of sample size. Stratified random sampling, proportional and optimum allocations and comparisons. Systematic sampling with N=nk and comparisons in populations with linear trend. Cluster sampling with clusters of equal and unequal sizes. Two stage sampling with equal and unequal first stage units. Ratio and regression estimation in case of simple random sampling and stratified random sampling. Non – sampling errors.
    8. Linear Models and Analysis of Experimental Designs: Gauss – Markov linear model, BLUE for linear functions of parameters Gauss – Markov theorem, analysis of multiple regression models, multiple and partial correlations. Tests of hypothesis on regression and correlation parameters, tests of sub – hypothesis. Aitken’s generalized least squares. Concept of multicollinearity.

Introduction of selecting the best regression equation, all possible regressions: backward, stepwise regression procedures. Variations on these methods.Ridge and robust regression procedures.Probit and logit analysis, Introduction to non-linear regression model building, least squares in non-linear case, estimating the parameters, non-linear growth models.Statement of Cochran’s theorem for quadratic forms, analysis of variance one – way classification model, two – way classification model with one – observation per cell with more than one (equal) observations per cell with interaction. Fisher’s least significance difference (LSD) method.Analysis of covariance one-way and two – way classification.Fundamental principles of experimental designs. Analysis of completely randomized design (CRD), Randomized Block Design (RBD), and Latin Square design (LSD). Analysis of RBD and LSD with one and more than one observation missing.

Estimation of main effects, interactions and analysis of 22 , 23 , 24 , 2n and 32 factorial experiments. Total and partial confounding of 22 , 23 , 24 and 32 factorial designs. Concept of balanced partial confounding. Fractional factorial designs. Split plot design and its analysis.

Balanced incomplete block design (BIBD) – parametric relations, Intra – block analysis and recovery of inter block information. Partially balanced incomplete block design with two associate classes (PBIBD (2)) – parametric relations and intra –block analysis. Youden Square design, Lattice design and intra – block analysis of simple lattice design.

  1. Optimization Techniques : Meaning and scope of Operations research, formulation of Linear -rule, optimum solution for Linearqprogramming problem (LPP), rule of steepest ascent, and programming problem by graphical method and simplex algorithm using artificial variables (Big M/penalty method and two phase simplex methods). Dual of a symmetric Linear programming problem and reading the optimal solution to the dual from the optimum simplex table of primal. Complementary slackness theorem, dual simplex algorithm.Definition of transportation problem, initial basic feasible solution by north west, matrix minimum methods and VAM. Optimal solution through MODI tableau for balanced and unbalanced transportation problem, degeneracy in transportation problem, transportation problems as a special case of linear programming problem.Assignment problem as a special case of transportation problem and LPP.Optimal solution using Hungarian method.

    Sequencing: Optimal sequence of ‘n’ jobs on two and three machines without passing.

    Non–linear programming problem – Formulation, generalized Lagrange multiplier technique, Kuhn – Tucker necessary and sufficient conditions for optimality of an NLPP.

    Game theory: 2 person zero sum game, pure strategies with saddle point, principles of dominance and games without saddle point.

    Introduction to simulation, generation of random numbers for uniform, Normal, Exponential, Cauchy and Poisson distributions.Estimating the reliability of the random numbers, simulation to queuing and inventory problem.

    Queuing Theory: Introduction, essential features of Queuing system, Operating characteristics of Queuing system (transient and steady states). Queue length, General relationships among characteristics. Probability distribution in queuing systems, distribution of Arrival and inter arrival. Distribution of death (departure) process, service time .Classification of Queuing models and solution of Queuing models; M/M/1: ∞/FIFO and M/M/1: N/FIFO. Integer Programming Problem: Gomory’s cutting plane algorithm for pure and mixed IPP; Branch and bound Technique.

COMMERCE & BUSINESS MANAGEMENT

PART-A

Research Methodology: Meaning of Research, Objectives of Research, Motivation in Research, Types of Research, Research Approaches, Significance of Research, Research Methods versus Methodology.

Defining the Research Problem: What is a Research Problem? Selecting the Problem, Necessity of Defining theProblem.

Research Design: Meaning of Research Design, Need for Research Design, Features of a Good Design.

Sampling Design: Census and Sample Survey, Implications of a Sample Design, Steps in Sampling Design, Criteria of Selecting a Sampling Procedure.

PART-B

Unit-I : Introduction to Management – Management though – functions and principals of management:Planning–Planningpremises,typeandstepsinplanning–Decisionmakingand forecasting, steps in decision making – Management by objectives (MBO) and decision tree analysis – organizing structure, type of organizations, Principals of Organizing, Delegations, and Decentralization of authority – line and staff functions – leading-leadership, styles of leadership, Theories of leadership – Blake and Mouton’s Managerial grid- Motivation, process, Maslow’s McGregor and Hertzberg theories of Motivation – Controlling – Importance, Process of Controlling – Techniques ofcontrolling.

Unit –II : Concepts in HRM; Human Resource planning –objectives, process and techniques-job analysis-job description-selecting human resource-induction, training and development- performance appraisal and evaluation- job evaluations industrial relations and trade unions- labour welfare and social security measures.

Unit III : Financial management -Nature and scope of Financial Management-Time Value of Money- ValuationConceptsandModels-RiskandReturn-FinancialStatement&itsAnalysis-statement ofchangesinFinancialPosition-CashFlowstatement-RatioAnalysis-FinancialPlanning-cost of capital- Form of Capital Structure: Capital structure- Leverages-Business/Financial Forecasting – sources of Finance-control of capital Issues: Securities and Exchange Board of India-WorkingcapitalManagement-ManagementofEarnings-DividendPolicyandDecision, Bonus Issue and Right Issue- Financial markets and Marketing of securities- Underwriting of capital issues- Merchant Banking – Investment Trusts and Mutual Funds- Long term Investment Decision: Capital Budgeting (Including Risk and Decision Tree Analysis)- Cash Flows for investment Analysis: Concepts and Determination- Lease Financing and Hire purchase- short term financing instruments. Mergers, Acquisitions and Restructuring- financial institutions & markets and derivativesinstruments.

Unit IV: Marketing environment and consumer behavior market segmentation targeting and positioning: product decisions, product mix, product life cycle: New product development: Brandingandpacking:Pricingmethodsandstrategies–promotionmixchannelManagement: Making of service: Customer relation management: New issues in Marketing,E-Marketing.

Unit – V: Role and scope of production management; facility location; layout planning and analysis; production planning and control – production process analysis; demand forecasting for operations: determinants of product mix; production scheduling: work measurement; time and motion study; statistical quality control. Role and scope of operations research.

Unit – VI: Managerial Economics: Demand analysis and demand forecasting, Production function cost–output relation, market structure and précising practices, national income concepts, business cycles Phase effects and controlling measure. Entrepreneurship: Entrepreneurship Concepts, Types, Motivation, Factors, Stages, Barriers, small scale Industries definition, Features steps in setting of a small Unit Problems and financial Institution support.

Unit – VII :Emerging Technologies in Management: Industry 4.0, Disruptive Technologies, Technology trends in Business – Big Data Analytics, Cloud Computing, Digital Currency, Cryptocurrency, Blockchain,InternetofThings,ArtificialIntelligence,MachineLearning,Robotics,3DPrinting, Drones, Augmented and VirtualReality.

Unit – VIII : Business, International Business and Global Business – Meaning and Definition, International Business – Nature and Scope, Globalization – Issues, Opportunities and Challenges, International Business – Institutions and Regulations, Indian Politics and the International Business environment.